Find a generator matrix for the smallest linear code

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Question: Consider the two-out-of-five code, which is the non-linear code consisting of all 5-length vectors with exactly two Is. Find a generator matrix for the smallest linear code that contains the two-out-of-five code. That is, all the two-out-of-five codewords should be codewords of the linear code, but the linear code will also contain other codewords.

Reference no: EM133217883

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